Deepwater Wavelength given Surf Similarity Parameter Calculator

✖Wave Height of Surf Zone Waves is the actual size of waves that are breaking on the beach within the surf zone which range in height from around 2 to 6 feet, based on the strength of the swell.ⓘ Wave Height of Surf Zone Waves [H_o]			+10% -10%
✖Surf Zone Waves Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.ⓘ Surf Zone Waves Similarity Parameter [ξ_o]			+10% -10%
✖Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.ⓘ Slope of Beach of Surf Zone Waves [β]			+10% -10%

✖Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.ⓘ Deepwater Wavelength given Surf Similarity Parameter [L_o]

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Formula

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Deepwater Wavelength given Surf Similarity Parameter

Formula

`"L"_{"o"} = "H"_{"o"}/("ξ"_{"o"}/tan("β"))^(-1/0.5)`

Example

`"2.996352m"="6m"/("0.408"/tan("30°"))^(-1/0.5)`

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Deepwater Wavelength given Surf Similarity Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)
L_o = H_o/(ξ_o/tan(β))^(-1/0.5)
This formula uses 1 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Length of Surf Zone Waves - (Measured in Meter) - Length of Surf Zone Waves extends from the point where the wave starts to break to where it finally dissipates along the shoreline.
Wave Height of Surf Zone Waves - (Measured in Meter) - Wave Height of Surf Zone Waves is the actual size of waves that are breaking on the beach within the surf zone which range in height from around 2 to 6 feet, based on the strength of the swell.
Surf Zone Waves Similarity Parameter - Surf Zone Waves Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone.
Slope of Beach of Surf Zone Waves - (Measured in Radian) - Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.

STEP 1: Convert Input(s) to Base Unit

Wave Height of Surf Zone Waves: 6 Meter --> 6 Meter No Conversion Required
Surf Zone Waves Similarity Parameter: 0.408 --> No Conversion Required
Slope of Beach of Surf Zone Waves: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_o = H_o/(ξ_o/tan(β))^(-1/0.5) --> 6/(0.408/tan(0.5235987755982))^(-1/0.5)

Evaluating ... ...

L_o = 2.996352

STEP 3: Convert Result to Output's Unit

2.996352 Meter --> No Conversion Required

FINAL ANSWER

2.996352 Meter <-- Length of Surf Zone Waves

(Calculation completed in 00.020 seconds)

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< 21 Irregular Waves Calculators

Deepwater Wave Height given Surf Similarity Parameter

Go Wave Height of Surf Zone Waves = Length of Surf Zone Waves*(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)

Deepwater Wavelength given Surf Similarity Parameter

Go Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)

Deepwater Surf Similarity Parameter

Go Surf Zone Waves Similarity Parameter = tan(Slope of Beach of Surf Zone Waves)*(Wave Height of Surf Zone Waves/Length of Surf Zone Waves)^-0.5

Wave Period given Long Wave Simplification for Wavelength

Go Wave Period in Coasts = Wavelength of Coast/sqrt([g]*Wave Height)

Deepwater Surf Similarity Parameter given Runup

Go Deepwater Surf Similarity Parameter = (Runup Exceeded by 2 Percent of the Runup Crests/(Deepwater Wave Height*1.86))^(1/0.71)

Deepwater Wave Height given Runup Exceeded by 2 Percent of Runup Crests

Go Deepwater Wave Height = Runup Exceeded by 2 Percent of the Runup Crests/(1.86*Deepwater Surf Similarity Parameter^0.71)

Deepwater Surf Similarity Parameter given Average of Highest One Tenth of Runups

Go Deepwater Surf Similarity Parameter = (Average of the Highest 1/10 of the Runup/(Deepwater Wave Height*1.7))^(1/0.71)

Runup Exceeded by 2 Percent of Runup Crests

Go Runup Exceeded by 2 Percent of the Runup Crests = Deepwater Wave Height*1.86*Deepwater Surf Similarity Parameter^0.71

Surf Similarity Parameter given Average of Highest One Third of Runups

Go Deepwater Surf Similarity Parameter = (Average of the Highest 1/3 of the Runups/Deepwater Wave Height*1.38)^(1/0.7)

Deepwater Wave Height given Average of Highest One Tenth of Runups

Go Deepwater Wave Height = Average of the Highest 1/10 of the Runup/(1.7*Deepwater Surf Similarity Parameter^0.71)

Deepwater Wave Height given Average of Highest One Third of Runups

Go Deepwater Wave Height = Average of the Highest 1/3 of the Runups/(1.38*Deepwater Surf Similarity Parameter^0.7)

Average of Highest One Tenth of Runups

Go Average of the Highest 1/10 of the Runup = Deepwater Wave Height*1.7*Deepwater Surf Similarity Parameter^0.71

Average of Highest One Third of Runups

Go Average of the Highest 1/3 of the Runups = Deepwater Wave Height*1.38*Deepwater Surf Similarity Parameter^0.7

Deepwater Wave Height given Maximum Runup

Go Deepwater Wave Height of Coast = Wave Runup/(2.32*Deepwater Surf Similarity Parameter^0.77)

Maximum Runup

Go Wave Runup = Deepwater Wave Height of Coast*2.32*Deepwater Surf Similarity Parameter^0.77

Empirically Determined Functions of Beach Slope Parameter b

Go Functions of Beach Slope B = 1.56/(1+e^(-19.5*tan(Slope of Beach of Surf Zone Waves)))

Deepwater Surf Similarity Parameter given Maximum Runup

Go Deepwater Surf Similarity Parameter = (Wave Runup/Deepwater Wave Height*2.32)^(1/0.77)

Deepwater Surf Similarity Parameter given Mean Runup

Go Deepwater Surf Similarity Parameter = (Mean Runup/(0.88*Deepwater Wave Height))^1/0.69

Empirically Determined Functions of Beach Slope Parameter a

Go Functions of Beach Slope A = 43.8*(1-e^(-19*tan(Slope of Beach of Surf Zone Waves)))

Deepwater Wave Height given Mean Runup

Go Deepwater Wave Height = Mean Runup/(0.88*Deepwater Surf Similarity Parameter^0.69)

Mean Runup

Go Mean Runup = Deepwater Wave Height*0.88*Deepwater Surf Similarity Parameter^0.69

Deepwater Wavelength given Surf Similarity Parameter Formula

Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5)
L_o = H_o/(ξ_o/tan(β))^(-1/0.5)

What is Beach Slope?

Beach slope in the tailings industry refers to the surface slope of the tailings after being hydraulically or mechanical deposited from a point of discharge. This is the slope the tailings settle at after being discharged from the end of a pipe.

How to Calculate Deepwater Wavelength given Surf Similarity Parameter?

Deepwater Wavelength given Surf Similarity Parameter calculator uses Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5) to calculate the Length of Surf Zone Waves, The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion. Length of Surf Zone Waves is denoted by L_o symbol.

How to calculate Deepwater Wavelength given Surf Similarity Parameter using this online calculator? To use this online calculator for Deepwater Wavelength given Surf Similarity Parameter, enter Wave Height of Surf Zone Waves (H_o), Surf Zone Waves Similarity Parameter (ξ_o) & Slope of Beach of Surf Zone Waves (β) and hit the calculate button. Here is how the Deepwater Wavelength given Surf Similarity Parameter calculation can be explained with given input values -> 2.996352 = 6/(0.408/tan(0.5235987755982))^(-1/0.5).

FAQ

What is Deepwater Wavelength given Surf Similarity Parameter?

The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion and is represented as L_o = H_o/(ξ_o/tan(β))^(-1/0.5) or Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5). Wave Height of Surf Zone Waves is the actual size of waves that are breaking on the beach within the surf zone which range in height from around 2 to 6 feet, based on the strength of the swell, Surf Zone Waves Similarity Parameter compares the wave surface slope to the bed slope in the surf zone and represents important features of the hydrodynamics of the surf zone & Slope of Beach of Surf Zone Waves is the beach's angle, generally increasing with sediment grain size and protection from wave energy.

How to calculate Deepwater Wavelength given Surf Similarity Parameter?

The Deepwater Wavelength given Surf Similarity Parameter formula is defined as the distance between corresponding points of two consecutive waves. “Corresponding points” refers to two points or particles in same phase i.e., points that have completed identical fractions of their periodic motion is calculated using Length of Surf Zone Waves = Wave Height of Surf Zone Waves/(Surf Zone Waves Similarity Parameter/tan(Slope of Beach of Surf Zone Waves))^(-1/0.5). To calculate Deepwater Wavelength given Surf Similarity Parameter, you need Wave Height of Surf Zone Waves (H_o), Surf Zone Waves Similarity Parameter (ξ_o) & Slope of Beach of Surf Zone Waves (β). With our tool, you need to enter the respective value for Wave Height of Surf Zone Waves, Surf Zone Waves Similarity Parameter & Slope of Beach of Surf Zone Waves and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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